Chapter 14.5, Problem 53E

To determine

To calculate: The income can be generated by the scheme of Chateau Petit Mont Blanc $1963$, where the value of Chateau Petit Mont Blanc $1963$ vintage burgundy is increasing continuously at an annual rate of $40\%$ and supply of $1,000$ bottles worth $\$85$ each and sell wine at a diminishing rate, starting at $500$ bottles per year and then decreasing this figure continuously at a fractional rate of $100\%$ per year.